一类平面五次多项式系统原点的极限环分支  

Limit Cycle Bifurcation of the Origin for A Class of Plane Fifth Polynomial System

作　　者：杨卫东[1] 王勤龙[1] 

机构地区：[1]长江大学信息与数学学院,湖北荆州434023

出　　处：《长江大学学报（自然科学版）》2005年第7期189-190,共2页Journal of Yangtze University(Natural Science Edition)

摘　　要：研究了一类平面五次系统原点极限环的分支问题,计算了系统的前12阶奇点量,得到了系统在原点附近存在5个极限环的系数条件,指出了极限环存在的位置。The problem concerning the origin of limit cycle branch of a class of plane fifth system is studied,the singular point value of the first 12 orders is calculated.The conditions for the 5 limit cycle coefficients near the origin are obtained,the position where the limit cycle exists is pointed out.

关 键 词：五次系统 奇点量 稳定性 极限环分支 

分 类 号：O175.12[理学—数学]